Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii

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            <s xml:id="echoid-s5734" xml:space="preserve">
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            ficio D in figura 54. </s>
            <s xml:id="echoid-s5735" xml:space="preserve">egreſſam & </s>
            <s xml:id="echoid-s5736" xml:space="preserve">vocemus rurſus directam preſſionem venæ
              <lb/>
            ita conſideratæ p, ſicut §. </s>
            <s xml:id="echoid-s5737" xml:space="preserve">33; </s>
            <s xml:id="echoid-s5738" xml:space="preserve">atque erit niſus iſtius aquæ, quo conatur
              <lb/>
            planum debito modo, ut niſus maximus fiat, inclinatum propellere in di-
              <lb/>
            rectione ad venam perpendiculari = {p/2 v} X (√vv + VV - V): </s>
            <s xml:id="echoid-s5739" xml:space="preserve">Et ſi porro
              <lb/>
            iſte niſus multiplicatur per velocitatem plani V atque tempus, obtinetur
              <lb/>
            potentia abſoluta, qua planum eadem velocitate per idem temporis ſpatium
              <lb/>
            moveri queat; </s>
            <s xml:id="echoid-s5740" xml:space="preserve">ſic igitur præfata potentia abſoluta erit = {pVt/2v} X (√vv + VV - V).</s>
            <s xml:id="echoid-s5741" xml:space="preserve"/>
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            <s xml:id="echoid-s5742" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5743" xml:space="preserve">43. </s>
            <s xml:id="echoid-s5744" xml:space="preserve">Potentia abſoluta, quam modo definivimus, ita eſt comparata,
              <lb/>
            ut continue creſcat creſcente V, atque ſi velocitas V infinita ſumatur, fit
              <lb/>
            eadem potentia = {1/4} X p v t. </s>
            <s xml:id="echoid-s5745" xml:space="preserve">Igitur cum in figura 54 vena D G uti volu-
              <lb/>
            mus ad rotandam machinam per impulſum obliquum, nunquam plusquam
              <lb/>
            quarta pars obtineri poteſt illius potentiæ abſolutæ, quæ in elevationem aqua-
              <lb/>
            rum ex C in E F impenditur. </s>
            <s xml:id="echoid-s5746" xml:space="preserve">Impulſu vero directo, nunquam plus quam
              <lb/>
            {4/27} obtineri vidimus §. </s>
            <s xml:id="echoid-s5747" xml:space="preserve">37. </s>
            <s xml:id="echoid-s5748" xml:space="preserve">Ergo effectus fere duplo major impulſu obliquo
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            ſeu motu rotæ horizontali quam impulſu directo, ſeu motu rotæ verticali
              <lb/>
            obtineri poteſt.</s>
            <s xml:id="echoid-s5749" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5750" xml:space="preserve">Si vero impulſus fluidorum aliter æſtimetur quam §. </s>
            <s xml:id="echoid-s5751" xml:space="preserve">31. </s>
            <s xml:id="echoid-s5752" xml:space="preserve">indicatum
              <lb/>
            fuit, erit ubique in eadem ratione mutandus valor litteræ p, qua impulſus
              <lb/>
            æſtimatio fuit mutata.</s>
            <s xml:id="echoid-s5753" xml:space="preserve"/>
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            <s xml:id="echoid-s5754" xml:space="preserve">Experimentum, de quo §. </s>
            <s xml:id="echoid-s5755" xml:space="preserve">27. </s>
            <s xml:id="echoid-s5756" xml:space="preserve">ſect. </s>
            <s xml:id="echoid-s5757" xml:space="preserve">9, mentionem feci, hoc eſt. </s>
            <s xml:id="echoid-s5758" xml:space="preserve">Nem-
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            pe unus operarius ope antliæ intra ſeptem minuta prima cum dimidio pe-
              <lb/>
            des cubicos ſedecim cum dimidio ad altitudinem quatuordecim pedum evexit.</s>
            <s xml:id="echoid-s5759" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5760" xml:space="preserve">Iſte vero effectus æqualiter diſtributus æquivalet huic actioni, qua di-
              <lb/>
            midius præter propter pes cubicus ſingulis minutis ſecundis elevatur ad alti-
              <lb/>
            tudinem unius pedis: </s>
            <s xml:id="echoid-s5761" xml:space="preserve">Hic igitur effectus dimidius admodum eſt illius, quem
              <lb/>
            hominem ſanum & </s>
            <s xml:id="echoid-s5762" xml:space="preserve">robuſtum calcatura dare poſſe ex aliis deduxi principiis
              <lb/>
            in paragrapho decimo ſeptimo. </s>
            <s xml:id="echoid-s5763" xml:space="preserve">Non crediderim defectum petendum eſſe
              <lb/>
            omnem à decrementis, quæ in potentiam abſolutam ex variis cauſis in iſta ſe-
              <lb/>
            ctione expoſitis cadere poſſunt, ſed potius ab eo, quod plus defatigentur
              <lb/>
            homines ab agitatione emboli in antlia, quam à calcatura in rota calcatoria.</s>
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